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Finding the Fourth Proportional to 635.25, 876.70 and 467.97

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Solution

The fourth proportional to 635.25, 876.70 and 467.97 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.25 : 876.70 = 467.97 : x
  2. Step 2: Convert to fraction form
    635.25/876.70 = 467.97/x
  3. Step 3: Cross multiply
    635.25x = 876.70 × 467.97
  4. Step 4: Simplify right side
    635.25x = 410,269.30
  5. Step 5: Solve for x
    x = 410,269.30/635.25
  6. Step 6: Final answer
    x = 645.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.